Without a relativizing barrier result or algebrizing argument specifically ruling out NC = P, the conjecture rests on absence of evidence rather than evidence of absence, violating standards of warranted assertibility Dummett defended for mathematical claims.

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Absence of evidence vs. evidence of absence(in epistemology/logic): The difference between 'we haven't found proof yet' (absence of evidence) and 'we have proven something doesn't exist' (evidence of absence); they're not the same thing.
Algebrizing argument(in mathematics): A mathematical technique or strategy that uses algebraic methods to prove something or show why a certain approach won't work.
Michael Dummett(as a philosopher referenced for his views on concreteness): A 20th-century British philosopher known for work on logic, language, and metaphysics, including theories about what kinds of things exist in the physical world.
NC = P(as a mathematical conjecture): A famous unsolved problem in computer science asking whether two classes of computational problems (nondeterministic polynomial and polynomial) are actually the same; it's one of the biggest open questions in math and CS.

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